Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 5: Q. 50 (page 350)

Use the following information to answer the next ten exercises. A customer service representative must spend different amounts of time with each customer to resolve various concerns. The amount of time spent with each customer can be modeled by the following distribution: X~Exp(0.2)

What is the standard deviation?

Short Answer

Expert verified

Standard Deviation of this Exponential Distribution is 5.

Step by step solution

01

Definition 

Standard deviation refers to the distribution of a statistical data compared to the mean value of the data.

02

Concept

As per provided information in the question, X~Exp(0.2)

Comparing with the standard formula of Exponential Distribution X~Exp(m), it can be found out that;

m=0.2

03

Finding the Standard Deviation

Standard Deviation in case of Exponential Distribution is equal to the mean of the distribution.

Mean is the reciprocal of the decay variable m.

Meanμ=1m=10.2=5

As Standard Deviation (σ)= Mean role="math" localid="1648203123884" (μ),

Therefore,

localid="1648203110749" role="math" σ=μ=5

Thus, Standard Deviation is 5.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Suppose that the distance, in miles, that people are willing to commute to work is an exponential random variable with a decay parameter 120. Let X = the distance people are willing to commute in miles. What is m, μ, and σ? What is the probability that a person is willing to commute more than 25 miles?

Use the following information to answer the next ten exercises.A customer service representative must spend different amounts of time with each customer to resolve various concerns. The amount of time spent with each customer can be modeled by the following distribution: X~Exp(0.2)

State the probability density function.

The total duration of baseball games in the major league in the 2011 season is uniformly distributed between 447 hours and 521 hours inclusive.

  1. Find aand band describe what they represent.
  2. Write the distribution.
  3. Find the mean and the standard deviation.
  4. What is the probability that the duration of games for a team for the 2011 season is between 480 and 500 hours?
  5. What is the 65th percentile for the duration of games for a team for the 2011 season?

Use the following information to answer the next three exercises.

The Sky Train from the terminal to the rental–car and long–term parking center is supposed to arrive every eight minutes. The waiting times for the train are known to follow a uniform distribution.

80. Find the 30thpercentile for the waiting times (in minutes).

a. two

b.2.4

c.2.75

d. three

A continuous probability function is restricted to the portion between x = 0 and 7. What is P(x = 10)?
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Applied Mathematics

Read Explanation

Pure Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Statistics

Read Explanation

Probability and Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free